MBA Exam

what is the remainder when 3^1001 is divided by 1001?(plz explain)

1) 971
2) 966

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MBA Other Question

Sanjog and Rahul took part in a two-day maths contest. At the end both had attempted questions worth 500 marks. Sanjog scored 160 out of 300 attempted on the first day and 140 out of 200 attempted on the second day, so his two-day success ratio was 3/5. Rahul's attempted figures were different from Sanjog's (but with the same two-day total). Rahul had a positive integer marks on each day. For each day Rahul's success ratio was less than Sanjog's. What is the largest possible two-day success ratio that Rahul could have achieved?

1) 81/125
2) 349/500
3) Cannot be determined
4) None of these
A spider situated at the top left corner of the a cuboidal room of dimensions 15 feet by 12 feet by 10 feet spots a dead cockroach at the corner farthest to it. Find the minimum distance( in feet ) the spider needs to cover to reach the cockroach if it crawls along the walls, ceiling or floor of the room.

1) sq root(769)
2) sq root(709)
3) sq root(829)
4) 10+sq root(369)